Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41454v |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-4.0594359269141E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,735726,186817364] |
[a1,a2,a3,a4,a6] |
Generators |
[2305:117697:1] |
Generators of the group modulo torsion |
j |
513518298333039/473314623488 |
j-invariant |
L |
3.160767254789 |
L(r)(E,1)/r! |
Ω |
0.13337668384355 |
Real period |
R |
2.9622561864835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4606k1 5922l1 |
Quadratic twists by: -3 -7 |